Statistically characterized subgroups related to some non-arithmetic sequence of integers

IF 0.8 4区数学 Q2 MATHEMATICS

Expositiones Mathematicae Pub Date : 2025-01-14 DOI:10.1016/j.exmath.2025.125653

Pratulananda Das, Ayan Ghosh

引用次数: 0

Abstract

Very recently in Das and Ghosh (2024), characterized subgroups have been investigated for some special kind of non-arithmetic sequences where certain cardinality related questions were answered. As statistically characterized subgroups Dikranjan et al. (2020) have evolved as non-trivial generalization of characterized subgroups, it is natural to ask the same questions for these subgroups which we try to answer here. The entire investigation emphasizes that these statistically characterized subgroups are mostly larger in size, having cardinality

c

, and exhibit behavior that significantly differs from that of classical characterized subgroups. As a consequence, we are able to present solution of an open problem raised in Dikranjan et al. (2020).

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与非等差整数序列相关的统计特征子群

最近在Das和Ghosh（2024）中，研究了一些特殊类型的非等差序列的特征子群，其中某些与基数相关的问题得到了回答。由于统计特征子群Dikranjan等人（2020）已经演变为特征子群的非平凡泛化，因此我们很自然地会对这些子群提出同样的问题，我们在这里试图回答这些问题。整个调查强调，这些统计特征的子群大多在规模上较大，具有基数c，并且表现出与经典特征子群显著不同的行为。因此，我们能够提出Dikranjan等人（2020）提出的一个开放问题的解决方案。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Expositiones Mathematicae 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

40 days

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